Pith Number

pith:P7IOJKKF

pith:1995:P7IOJKKFO3KVCWMKIDFY3DUZRC

not attested not anchored not stored refs pending

Unknotting the polarized vacuum of quenched QED

D.J.Broadhurst, D.Kreimer, R.Delbourgo

arxiv:hep-ph/9509296 v1 · 1995-09-14 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7IOJKKFO3KVCWMKIDFY3DUZRC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T15:23:55.542304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd0e4a94576d551598a40cb8d8e9988b0ca055b8067f07a5d5375107e79bf8c

Aliases

arxiv: hep-ph/9509296 · arxiv_version: hep-ph/9509296v1 · doi: 10.48550/arxiv.hep-ph/9509296 · pith_short_12: P7IOJKKFO3KV · pith_short_16: P7IOJKKFO3KVCWMK · pith_short_8: P7IOJKKF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/P7IOJKKFO3KVCWMKIDFY3DUZRC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7fd0e4a94576d551598a40cb8d8e9988b0ca055b8067f07a5d5375107e79bf8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5006fc9d9ff0f9a41cc95a0350ff8d5b67f4f2675840c01f75fe0ce52bc8f029",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1995-09-14T18:26:53Z",
    "title_canon_sha256": "36666a3a874818104d737d88bd38e000d7cad7b5eb11b64a03a663e4d53eecd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9509296",
    "kind": "arxiv",
    "version": 1
  }
}